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- Title
Characterizations of Lipschitz functions via the commutators of maximal function in total Morrey spaces.
- Authors
Guliyev, Vagif S.
- Abstract
We give necessary and sufficient conditions for the boundedness of the maximal commutators Mb$$ {M}_b $$ and the commutators of the maximal operator [b,M]$$ \left[b,M\right] $$ in total Morrey spaces Lp,λ,μ(ℝn)$$ {L}^{p,\lambda, \mu}\left({\mathrm{\mathbb{R}}}^n\right) $$ when b$$ b $$ belongs to Lipschitz spaces Λ˙β(ℝn)$$ {\dot{\Lambda}}_{\beta}\left({\mathrm{\mathbb{R}}}^n\right) $$, whereby some new characterizations for certain subclasses of Lipschitz spaces Λ˙β(ℝn)$$ {\dot{\Lambda}}_{\beta}\left({\mathrm{\mathbb{R}}}^n\right) $$ are obtained.
- Subjects
MAXIMAL functions; COMMUTATORS (Operator theory); LIPSCHITZ spaces; COMMUTATION (Electricity)
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 11, p8669
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.10038